211688455953 has 64 divisors (see below), whose sum is σ = 321751664640. Its totient is φ = 122818291200.

The previous prime is 211688455949. The next prime is 211688455961. The reversal of 211688455953 is 359554886112.

It is not a de Polignac number, because 211688455953 - 2² = 211688455949 is a prime.

It is a super-2 number, since 2×211688455953² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211688455893 and 211688455902.

It is not an unprimeable number, because it can be changed into a prime (211688455943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26420718 + ... + 26428728.

It is an arithmetic number, because the mean of its divisors is an integer number (5027369760).

Almost surely, 2^211688455953 is an apocalyptic number.

211688455953 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211688455953 is a deficient number, since it is larger than the sum of its proper divisors (110063208687).

211688455953 is a wasteful number, since it uses less digits than its factorization.

211688455953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8470.

The product of its digits is 10368000, while the sum is 57.

The spelling of 211688455953 in words is "two hundred eleven billion, six hundred eighty-eight million, four hundred fifty-five thousand, nine hundred fifty-three".